报告人  ：陈建清教授

         福建师范大学,

报告题目：Standing waves for nonlinear Schrödinger-Poisson equation with high frequency

报告时间：2016年01月31日 下午16:00

报告地点：数学物理大楼627

学院联系人：刘轼波教授

报告摘要：

We study the existence of ground state and bound state for the following Schrödinger‐Poisson equation

where , ,  and . By using variational method, we prove that for any , there exists  such that for , problem (P) has a nonnegative ground state with negative energy, which bifurcates from zero solution; problem (P) has a nonnegative bound state with positive energy, which can not bifurcate from zero solution. Here  is the first eigenvalue of . Infinitely many nontrivial bound states are also obtained with the help of a generalized version of symmetric mountain pass theorem.

报告人简介：

   陈建清博士, 福建师范大学数学与计算机学院教授, 福建省闽江特聘教授. 2003年毕业于中科院数学所, 获博士学位, 曾受邀到葡萄牙University of Aveiro进行长期研究工作. 主要从事非线性泛函分析, 非线性偏微分方程的研究. 在JDE等国际著名刊物发表论文五十余篇, 主持多项国家自然科学基金项目.

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